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Finding the Fourth Proportional to 14,229.36, 19,637.37 and 7,942.14

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Solution

The fourth proportional to 14,229.36, 19,637.37 and 7,942.14 is: 10,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.36 : 19,637.37 = 7,942.14 : x
  2. Step 2: Convert to fraction form
    14,229.36/19,637.37 = 7,942.14/x
  3. Step 3: Cross multiply
    14,229.36x = 19,637.37 × 7,942.14
  4. Step 4: Simplify right side
    14,229.36x = 155,962,741.77
  5. Step 5: Solve for x
    x = 155,962,741.77/14,229.36
  6. Step 6: Final answer
    x = 10,960.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.